148534059377025 has 729 divisors, whose sum is σ = 337044398268123. Its totient is φ = 62337369830400.

The previous prime is 148534059377003. The next prime is 148534059377071. The reversal of 148534059377025 is 520773950435841.

The square root of 148534059377025 is 12187455.

It is a perfect power (a square), and thus also a powerful number.

148534059377025 is a `hidden beast` number, since 1 + 4 + 8 + 5 + 34 + 0 + 593 + 7 + 7 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 130429579012929 + 18104480364096 = 11420577^2 + 4254936^2 .

It is not a de Polignac number, because 148534059377025 - 2⁴⁷ = 7796571021697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 996872881651 + ... + 996872881799.

Almost surely, 2^{148534059377025} is an apocalyptic number.

148534059377025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

148534059377025 is the 12187455-th square number.

148534059377025 is the 6093728-th centered octagonal number.

It is an amenable number.

148534059377025 is an abundant number, since it is smaller than the sum of its proper divisors (188510338891098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

148534059377025 is a wasteful number, since it uses less digits than its factorization.

148534059377025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 127008000, while the sum is 63.

The spelling of 148534059377025 in words is "one hundred forty-eight trillion, five hundred thirty-four billion, fifty-nine million, three hundred seventy-seven thousand, twenty-five".